Relativistic mean field description of cluster radioactivity

Comprehensive investigations of the observed cluster radioactivity are carried out. First, the relativistic mean field (RMF) theory is employed for the calculations of the ground-state properties of relevant nuclei. The calculations reproduce the experiment well. The calculated RMF point densities are folded with the density-dependent M3Y nucleon-nucleon interaction to obtain the cluster-daughter interaction potential. This, along with the calculated and experimental $Q$ values, is used in the WKB approximation for estimating the half-lives of the parent nuclei against cluster decay. The calculations qualitatively agree with the experiment. Sensitive dependence of the half-lives on $Q$ values is explicitly demonstrated.

Figure 1

The calculated (DEF) charge radii $r_c$. Experimental values are also shown (where available).

Figure 2

The calculated (DEF) isotope shifts for the chain of radium isotopes along with the corresponding experimental values [29].

Figure 3

The calculated (DEF) Q values against cluster decays along with the corresponding experimental values [7]. The respective clusters are explicitly indicated.

Figure 4

The cluster decay half-lives. Arrows indicate that the experimental results only indicate lower limits over the half-lives. The experimental half-lives have been adopted from [7].